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Finding the Fourth Proportional to 156,877.74, 216,492.94 and 85,257.76

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Solution

The fourth proportional to 156,877.74, 216,492.94 and 85,257.76 is: 117,656.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,877.74 : 216,492.94 = 85,257.76 : x
  2. Step 2: Convert to fraction form
    156,877.74/216,492.94 = 85,257.76/x
  3. Step 3: Cross multiply
    156,877.74x = 216,492.94 × 85,257.76
  4. Step 4: Simplify right side
    156,877.74x = 18,457,703,120.21
  5. Step 5: Solve for x
    x = 18,457,703,120.21/156,877.74
  6. Step 6: Final answer
    x = 117,656.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.